I am working on charts to show every day climate parameters such as temperature and precipitation over a period of time. I used the term "time-evolving charts". Is there a better term to show the evolution over time for these charts or diagrams? Besides, I want to use a better term for "climatic parameters"

denoting the photographic technique of taking a sequence of frames at set intervals to record changes that take place slowly over time. When the frames are shown at normal speed the action seems much faster.

While I am not aware of its application outside of actual photography, it could be adapted to your use in a phrase like time-lapse climate charts. This would be especially appropriate if you intended to show them in rapid succession to reflect a changing patern.

As to climate parameters, if you wish to emphasize the change, you could say climate trends or weather trends.